Three-Dimensional Numerical Model for Flow and Bed Deformation around River Hydraulic Structures
Publication: Journal of Hydraulic Engineering
Volume 131, Issue 12
Abstract
This paper describes a numerical model developed to simulate flow and bed deformation around river hydraulic structures. The model solved the fully three-dimensional, Reynolds-averaged Navier–Stokes equation expressed in a moving boundary-fitted coordinate system to calculate the flow field with water and bed surfaces varying in time. A nonlinear turbulence model was employed in order to predict flow near the structure where three-dimensional flow is dominant. The temporal change in bed topography was calculated by coupling a stochastic model for sediment pickup and deposition using a momentum equation of sediment particles in order to account for the effect of nonequilibrium sediment transport. In validating the numerical model, a spur dike and a bridge pier, which are considered to be typical river-engineering structures, were selected. By comparing the numerical results with observed laboratory experimental data, the model was found to reproduce flow and scour geometry around these structures with sufficient accuracy.
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Acknowledgments
The major part of this study was conducted while the first writer was at the Iowa Institute of Hydraulic Research (IIHR) as a visiting scholar financially supported by the Ministry of Education of Japan. The numerical simulations were carried out on a computer provided by IIHR. The assistance of the IIHR staff involved with providing a conducive research environment is gratefully appreciated. The writers thank the anonymous reviewers for their critical reviews of the manuscript which prompted them to improve the quality of this paper.
References
Ahmed, F., and Rajaratnam, N. (1998). “Flow around bridge piers.” J. Hydraul. Eng., 124(3), 288–300.
Bosch, G., and Rodi, W. (1998). “Simulation of vortex shedding past a square cylinder with different turbulence models.” Int. J. Numer. Methods Fluids, 28, 601–616.
Breusers, H. N. C., Nicollet, G., and Shen, H. W. (1977). “Local scour around cylindrical piers.” J. Hydraul. Res., 15(3), 211–252.
Brookes, A., Knight, S. S., and Shields, F. D., Jr. (1996). “Habitat enhancement.” River channel restoration, A. Brookes and F. D. Shields, Jr., eds., Wiley, Chichester, U.K., 103–126.
Craft, T. J., Launder, B. E., and Suga, K. (1997). “Prediction of turbulent transitional phenomena with a non-linear eddy-viscosity model.” Int. J. Heat Mass Transfer, 18, 15–28.
Dargahi, B. (1990). “Controlling mechanism of local scouring.” J. Hydraul. Eng., 116(10), 1197–1214.
Dey, S. (1997). “Local scour at piers, Part I: A review of developments of research.” Int. J. Sediment Res., 12(2), 23–46.
Dey, S., Bose, S. K., and Sastry, G. L. N. (1995). “Clear water scour at circular piers: A model.” J. Hydraul. Eng., 121(12), 869–876.
Einstein, H. A. (1950). “The bed-load function for sediment transportation in open channel flows.” Technical Bulletin, No. 1026, U.S. Dept. of Agriculture, Soil Conservation Service, Washington, D.C.
Elliott, K. R., and Baker, C. J. (1985). “Effect of pier spacing on scour around bridge piers.” J. Hydraul. Eng., 111(7), 1105–1109.
Engelund, F. (1966). “Hydraulic resistance of alluvial streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 92(HY2), 315–326.
Ettema, R., Mostafa, E. A., Melville, B. W., and Yassin, A. A. (1998). “Local scour at skewed piers.” J. Hydraul. Eng., 124(7), 756–759.
Franke, R. and Rodi, W., and (1993). “Calculation of vortex shedding past a square cylinder with various turbulence models.” Selected Papers from the 8th Int. Symp. on Turbulent Shear Flows, Munich, Germany, September 9–11, 1991, F. Durst, et al., eds., Springer-Verlag, Berlin, 189–204.
Garde, R. J., Subramanya, K., and Nambudripad, K. D. (1961). “Study of scour around spur-dikes.” J. Hydraul. Div., Am. Soc. Civ. Eng., 87(6), 23–37.
Gatski, T. B., and Speziale, C. G. (1993). “On explicit algebraic stress models for complex turbulent flows.” J. Fluid Mech., 254, 59–78.
Gibson, M. M., and Rodi, W. (1989). “Simulation of free surface effects on turbulence with a Reynolds stress model.” J. Hydraul. Res., 27(2), 233–244.
Gill, M. A. (1972). “Erosion of sand beds around spur dikes.” J. Hydraul. Div., Am. Soc. Civ. Eng., 98(9), 1587–1602.
Harlow, F. H., and Welch, J. E. (1965). “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface.” Phys. Fluids, 8, 2182–2189.
Hirt, C. W., and Cook, J. L. (1972). “Calculating three-dimensional flows around structures and over rough terrain.” J. Comput. Phys., 10, 324–340.
Hosoda, T., Sakurai, T., Kimura, I., and Muramoto, Y. (1999). “3-D computations of compound open channel flows with horizontal vortices and secondary currents by means of non-linear k-epsilon model.” J. Hydrosci. Hydr. Eng., 17(2), 87–96.
Iwagaki, Y. (1956). “Fundamental study on critical tractive force, (I) Hydrodynamical study on critical tractive force.” Trans. Jpn. Soc. Civ. Eng., 41, 1–21 (in Japanese).
Iwasa, Y., and Hosoda, T. (1990). “Hydraulic analysis of sediment including flows over smooth bed.” Proc., Int. Conf. on Physical Modeling of Transport and Dispersion, IAHR, Boston, 11B.13–11B.18.
Jia, Y., and Wang, S. S. Y. (1993). “3D numerical simulation of flow near a spur dike.” Proc., 1st Int. Conf. on Hydro-Sci. and -Engineering, Washington, D.C., 2150–2156.
Jia, Y., and Wang, S. S. Y. (1996). “A modeling approach to predict local scour around spur dike-like structures.” Proc., 6th Federal Interagency Sedimentation Conf., Las Vegas, Nev., II-90–97.
Jia, Y., and Wang, S. S. Y. (1999). “Numerical model for channel flow and morphological change studies.” J. Hydraul. Eng., 125(9), 924–933.
Jain, S. C. (1981). “Maximum clear-water scour around circular piers.” J. Hydraul. Div., Am. Soc. Civ. Eng., 107(5), 611–626.
Kimura, I., and Hosoda, T. (2003). “A non-linear model with realizability for prediction of flows around bluff bodies.” Int. J. Numer. Methods Fluids, 42, 813–837.
Kimura, I., Hosoda, T., Onda, S., and Tominaga, A. (2004). “3D numerical analysis of unsteady flow structures around inclined spur dikes by means of a non-linear model.” Shallow Flows, Jirka and Uijttewaal, eds., Selected Papers of the International Symposium on Shallow Flows, 16–18 June 2003, Delft, The Netherlands, Taylor & Francis Group, London, 651–660.
Kothyari, U. C., Garde, R. J., and Raju, K. G. R. (1992). “Temporal variation of scour around circular bridge piers.” J. Hydraul. Eng., 118(8), 1091–1106.
Kuhnle, R. A., Alonso, C. V., and Shields, F. D., Jr. (1999). “Geometry of scour holes associated with 90° spur dikes.” J. Hydraul. Eng., 125(9), 972–978.
Kwan, T. F., and Melville, B. W. (1994). “Local scour and flow measurements at bridge abutments.” J. Hydraul. Res., 32(5), 661–673.
Laursen, E. M. (1963). “An analysis of relief bridge scour.” J. Hydraul. Div., Am. Soc. Civ. Eng., 89(3), 93–118.
Leonard, B. P. (1979). “A stable and accurate convective modeling procedure based on quadratic upstream interpolation.” Comput. Methods Appl. Mech. Eng., 19, 59–98.
Lim, S. Y. (1997). “Equilibrium clear-water scour around an abutment.” J. Hydraul. Eng., 123(3), 237–243.
Mayerle, R., Toro, F. M., and Wang, S. S. Y. (1995). “Verification of a three-dimensional numerical model simulation of the flow in the vicinity of spur dikes.” J. Hydraul. Res., 33(2), 243–256.
Melville, B. W. (1975). “Local scour at bridge site.” Rep. No. 117, School of Engineering, The Univ. of Auckland, New Zealand.
Melville, B. W. (1992). “Local scour at bridge abutments.” J. Hydraul. Eng., 118(4), 615–631.
Melville, B. W., and Chiew, Y. M. (1999). “Time scale for local scour at bridge piers.” J. Hydraul. Eng., 125(1), 59–65.
Melville, B. W., and Raudkivi, A. J. (1977). “Flow characteristics in local scour at bridge piers.” J. Hydraul. Res., 15(4), 373–380.
Melville, B. W., and Raudkivi, A. J. (1996). “Effects of foundation geometry on bridge pier scour.” J. Hydraul. Eng., 122(4), 203–209.
Melville, B. W., and Sutherland, A. J. (1988). “Design method for local scour at bridge piers.” J. Hydraul. Eng., 114(10), 1210–1226.
Michiue, M., and Hinokidani, O. (1992). “Calculation of 2-dimensional bed evolution around spur-dike.” Ann. J. Hydraul. Eng., 36, 61–66 (in Japanese).
Muneta, N., and Shimizu, Y. (1994). “Numerical analysis model with spur-dike considering the vertical flow velocity distribution.” Proc., JSCE, 497, 31–39 (in Japanese).
Nagata, N., Hosoda, T., and Muramoto, Y. (2000). “Numerical analysis of river channel processes with bank erosion.” J. Hydraul. Eng., 126(4), 243–252.
Nakagawa, H., Tsujimoto, T., and Murakami, S. (1986). “Non-equilibrium bed load transport along side slope of an alluvial stream.” Proc., 3rd Int. Symp. on River Sedimentation, Univ. of Mississippi, Miss., 885–893.
Naot, D., Nezu, I., and Nakagawa, H. (1993). “Hydrodynamic behavior of compound rectangular open channels.” J. Hydraul. Eng., 119(3), 390–408.
Naot, D., and Rodi, W. (1982). “Calculation of secondary currents in channel flow.” J. Hydraul. Div., Am. Soc. Civ. Eng., 108(8), 948–968.
Neary, V. S., Sotiropoulos, F., and Odgaard, A. J. (1999). “Three-dimensional numerical model of lateral-intake flows.” J. Hydraul. Eng., 125(2), 126–140.
Olsen, N. R. B., and Kjellesvig, H. M. K. (1998). “Three-dimensional numerical flow modeling for estimation of maximum local scour depth.” J. Hydraul. Res., 36(4), 579–590.
Olsen, N. R. B., and Melaaen, M. C. (1993). “Three-dimensional calculation of scour around cylinders.” J. Hydraul. Eng., 119(9), 1048–1054.
Ouillon, S., and Dartus, D. (1997). “Three-dimensional computation of flow around groyne.” J. Hydraul. Eng., 123(11), 962–970.
Pezzinga, G. (1994). “Velocity distribution in compound channel flows by numerical modeling.” J. Hydraul. Eng., 120(10), 1176–1198.
Pope, S. B. (1975). “A more general effective viscosity hypothesis.” J. Fluid Mech., 72, 331–340.
Rahman, M. M., Nagata, N., Muramoto, Y., and Murata, H. (1998). “Effect of side slope on flow and scouring around spur-dike-like structures.” Proc., 7th Int. Symp. on River Sedimentation, Hong Kong, China, 165–171.
Rajaratnam, N., and Nwachukwu, B. A. (1983a). “Flow near groin-like structures.” J. Hydraul. Eng., 109(3), 463–480.
Rajaratnam, N., and Nwachukwu, B. A. (1983b). “Erosion near groyne-like structures.” J. Hydraul. Res., 21(4), 277–287.
Raudkivi, A. J. (1986). “Functional trends of scour at bridge piers.” J. Hydraul. Eng., 112(1), 1–13.
Raudkivi, A. J., and Ettema, R. (1977). “Effect of sediment gradation on clear water scour.” J. Hydraul. Div., Am. Soc. Civ. Eng., 103(10), 1209–1213.
Raudkivi, A. J., and Ettema, R. (1985). “Scour at cylindrical bridge piers in armored beds.” J. Hydraul. Eng., 111(4), 713–731.
Richardson, J. E., and Panchang, V. G. (1998). “Three-dimensional simulation of scour-inducing flow at bridge piers.” J. Hydraul. Eng., 124(5), 530–540.
Rodi, W. (1993). “Turbulence models and their application in hydraulic—A state of the art review.” Int. Assoc. Hydraul. Res., Balkema, Rotterdam, The Netherlands.
Roulund, A., Sumer, B. M., Fredsoe, J., and Michelsen, J. (1998). “3D mathematical modelling of scour around a circular pile in current.” Proc., 7th Int. Symp. on River Sedimentation, Hong Kong, China, 131–137.
Rubinstein, R., and Barton, J. M. (1990). “Nonlinear Reynolds stress models and the renormalization group.” Phys. Fluids A, 2, 1472–1476.
Schumann, U. (1977). “Realizability of Reynolds-stress turbulence model.” Phys. Fluids, 20, 721–725.
Sinha, S. K., Sotiropoulos, F., and Odgaard, A. J. (1998). “Three-dimensional numerical model for flow through natural rivers.” J. Hydraul. Eng., 124(1), 13–24.
Sugiyama, H., Akiyama, M., Kamezawa, M., and Nobuchi, D. (1997). “The numerical study of turbulent structure in compound open-channel flow with variable depth floodplain.” J. Hydraul., Coastal, Env. Eng., JSCE, 556(II-39), 73–83 (in Japanese).
Tingsanchali, T., and Maheswaran, S. (1990). “2-D depth-averaged flow computation near groyne.” J. Hydraul. Eng., 116(1), 71–86.
Tsujimoto, T., and Motohashi, K. (1988). “Effect of armoring on local scour around a circular cylinder.” J. Hydrosci. Hydr. Eng., 6(1), 23–34.
Vanoni, V. A., ed. (1975). Sedimentation Engineering, ASCE Manuals and Reports on Engineering Practice No. 54, ASCE, New York.
Yakhot, V., and Orszag, S. A. (1986). “Renormalization group analysis of turbulence, 1. Basic theory.” J. Sci. Comput., 1(1), 3–51.
Yanmaz, A. M., and Altinbilek, H. D. (1991). “Study of time-dependent local scour around bridge piers.” J. Hydraul. Eng., 117(10), 1247–1268.
Yoshizawa, A. (1984). “Statistical analysis of the deviation of the Reynolds stress from its eddy viscosity representation.” Phys. Fluids, 27(6), 1377–1387.
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Information
Published In
Journal of Hydraulic Engineering
Volume 131 • Issue 12 • December 2005
Pages: 1074 - 1087
Copyright
© 2005 ASCE.
History
Received: Feb 20, 2001
Accepted: Apr 7, 2005
Published online: Dec 1, 2005
Published in print: Dec 2005
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